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Finding the Fourth Proportional to 4,087.21, 6,133.02 and 3,164.57

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Solution

The fourth proportional to 4,087.21, 6,133.02 and 3,164.57 is: 4,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,087.21 : 6,133.02 = 3,164.57 : x
  2. Step 2: Convert to fraction form
    4,087.21/6,133.02 = 3,164.57/x
  3. Step 3: Cross multiply
    4,087.21x = 6,133.02 × 3,164.57
  4. Step 4: Simplify right side
    4,087.21x = 19,408,340.44
  5. Step 5: Solve for x
    x = 19,408,340.44/4,087.21
  6. Step 6: Final answer
    x = 4,748.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.